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VMariaS [17]
3 years ago
6

Please help due in 20 minutes!

Mathematics
2 answers:
In-s [12.5K]3 years ago
8 0

Answer:

x =12

Step-by-step explanation:

We use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

x^2 + 5^2 = 13^2

x^2 +25 =169

Subtract 25 from each side

x^2 +25-25=169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12

Sliva [168]3 years ago
6 0

Answer: 12

Step-by-step explanation:

13 times 5 = 56

then divide 56 by 2

=12

x^2 +25 =169

Subtract 25 from each side

x^2 +25-25=169-25

x^2 = 144

x = 12

hope this helps :)

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Can anyone please help i have no one to help me​
adoni [48]

Answer:

<em>Graph below</em>

Step-by-step explanation:

<u>Transformations</u>

Triangle ABC has coordinates A=(-4,2) B=(-2,6) C=(3,2)

We'll use the transformation (x,y) -> (2x, y+3) to map it to the triangle A'B'C'. Let's calculate the coordinates:

A'=(-8,5)

B'=(-4,9)

C'=(6,5)

The image below shows both triangles in the same grid

8 0
2 years ago
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
2 years ago
Which of the following is an arithmetic sequence?
alexandr1967 [171]
Answer: Only the second sequence is arithmetic. 

Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence. 
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term. 
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term. 
8 0
3 years ago
How is a one-degree angle helpful in classifying angles?
Oksana_A [137]
It is helpful by knowing it has at least one acute angle
4 0
2 years ago
Find the zeros of fhe function. Enter the solutions from least to greatest. f(x)=(x-2)^2-9
dangina [55]

Answer:

5, -1

Step-by-step explanation:

set the given equation equal to 0.

add 9 to both sides

take the square root of both sides and remove the exponent on left side.

x-2 = +3

x-2= -3

solve for x (for each equation)

x= 5, x= -1

3 0
3 years ago
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